Which one of the following options is true, and why? y = 3x + 5 has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions
y = 3x + 5 is a linear equation in two variables and it has infinite possible solutions. As for every value of x, there will be a value of y satisfying the above equation and vice-versa.
Hence, the correct answer is (iii): infinitely many solutions.
The obtuse angle between lines \(2y = x + 1\) and \(y = 3x + 2\) is:
What is the general solution of the equation \( \cot\theta + \tan\theta = 2 \)?
(i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)
